Probing bad theories with the dualization algorithm. Part II

被引：1

作者：

Giacomelli, Simone ^{[3
,4
]}

Hwang, Chiung ^{[1
,2
]}

Marino, Fabio ^{[3
,4
,5
]}

Pasquetti, Sara ^{[3
,4
]}

Sacchi, Matteo ^{[6
]}

机构：

[1] Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China

[2] Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China

[3] Univ Milano Bicocca, Dipartimento Fis, Piazza Sci 3, I-20126 Milan, Italy

[4] Ist Nazl Fis Nucl, Sez Milano Bicocca, Piazza Sci 3, I-20126 Milan, Italy

[5] Univ Surrey, Dept Math, Guildford GU2 7XH, Surrey, England

[6] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 07期

基金：

中国国家自然科学基金;

关键词：

Supersymmetric Gauge Theory; Supersymmetry and Duality; MIRROR SYMMETRY; GAUGE-THEORIES; DUALITY; INDEX; N=1;

D O I：

10.1007/JHEP07(2024)165

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We continue our analysis of bad theories initiated in [1], focusing on quiver theories with bad unitary and special unitary gauge groups in three dimensions. By extending the dualization algorithm we prove that the partition function of bad linear quivers can be written as a distribution, given by a sum of terms involving a product of delta functions times the partition function of a good quiver theory. We describe in detail the good quiver theories appearing in the partition function of the bad theory and discuss the brane interpretation of our result. We also discuss in detail the lift of these theories to 4d quivers with symplectic gauge groups, in which our results can be recovered by studying the Higgsing triggered by the expectation value for certain chiral operators. The paper is accompanied by a Mathematica file which implements the algorithm for an arbitrary unitary bad linear quiver.

引用

页数：119

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